Find ways in which prizes are distributed between student, Mathematics

Assignment Help:

Find out the number of ways in which 5 prizes can be distributed among 5 students such that 

(a)   Each student may get a prize.

(b)  There is no restriction to the number of prizes a student gets.  (8)  

 Ans : (a)  Number of ways in which 5 prizes can be distributed between 5 students in such a way that each one may acquire a prize is 5*4*3*2*1 = 5! ways.

(b) While no restriction on the number of prizes a student may get, after that a student may get either 0 or 1 or 2 or...upto 5 prizes. It depicts that a student have six possible ways in which it may get a prize. Hence the number of ways in which prizes can be distributed is 65.


Related Discussions:- Find ways in which prizes are distributed between student

Proof of various derivative facts formulas properties, PROOF OF VARIOUS DER...

PROOF OF VARIOUS DERIVATIVE FACTS/FORMULAS/PROPERTIES Under this section we are going to prove several of the different derivative facts, formulas or/and properties which we en

Geometry, what shapes can go into a triangular prism

what shapes can go into a triangular prism

Tests for relative minimum, Tests for relative minimum For a relative ...

Tests for relative minimum For a relative minimum point there are two tests: i.The first derivative, which is (dy)/(dx)  = f´(x) = 0 ii.The second derivative, which i

Word problems, please can you help me with word problems

please can you help me with word problems

A graph with a positive slope, A graph with a positive slope shows that the...

A graph with a positive slope shows that the variables depicted on the axes goes in the similar directions.

Example of integrals involving root - integration technique, Evaluate the f...

Evaluate the following integral. ∫ (x+2 / 3√(x-3)) (dx) Solution Occasionally while faced with an integral that consists of a root we can make use of the following subs

Root of function, Root of function: All throughout a calculus course we wi...

Root of function: All throughout a calculus course we will be determining roots of functions.  A root of function is number for which the function is zero.  In other terms, determ

Calculate the probability, Let D = 1 denotes the event that an adult male h...

Let D = 1 denotes the event that an adult male has a particular disease. In the population, it is known that the probability of having this disease is 20 percent, i.e., Pr (D = 1)

How several miles did joe walk altogether, Joe walked 2 1/2 miles to school...

Joe walked 2 1/2 miles to school, 1/3 mile to work, and 1 1/4 miles to his friend's house. How several miles did Joe walk altogether? To find out the total distance walked, add

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd